1. Introduction -- 2. When and why arbitral jurisdiction matters -- 2.1 The public side of private adjudication -- 2.2 The arbitrator: neither judge nor vigilante -- 3. An overview of first options v. Kaplan -- 4. The first options arbitrability dicta -- 5. What the dicta might mean -- 5.1 Elements of arbitrability -- 5.1.1 Existence of the arbitration agreement -- 5.1.2 Scope of the arbitrator's power -- 5.1.3 Public policy -- 5.2 Plausible application of the dicta -- 5.2.1 A second arbitration agreement -- 5.2.2 Questions for the arbitrator -- 5.3 Dubious (mis)applications of the dicta -- 5.3.1 Binding non-signatories through voodoo jurisprudence -- 5.3.2 Prima facie existence of the arbitration clause -- 5.3.3 Public policy -- 6. Analytic tools -- 6.1 'Jurisdiction to decide jurisdiction' -- 6.1.1 A tale of several meanings -- 6.2 Separability of the arbitration agreement -- 6.3 Compétence-compétence and separability contrasted -- 6.4 Analogies from administrative law -- 6.4.1 Common problem areas -- 7. Conclusion